Nonlinear hydrodynamic stability and transition; Proceedings of the IUTAM Symposium, Nice, France, Sept. 3-7, 1990
Abstract
Theoretical and experimental research on nonlinear hydrodynamic stability and transition is presented. Bifurcations, amplitude equations, pattern in experiments, and shear flows are considered. Particular attention is given to bifurcations of plane viscous fluid flow and transition to turbulence, chaotic traveling wave covection, chaotic behavior of parametrically excited surface waves in square geometry, amplitude analysis of the Swift-Hohenberg equation, traveling wave convection in finite containers, focus instability in axisymmetric Rayleigh-Benard convection, scaling and pattern formation in flowing sand, dynamical behavior of instabilities in spherical gap flows, and nonlinear short-wavelength Taylor vortices. Also discussed are stability of a flow past a two-dimensional grid, inertia wave breakdown in a precessing fluid, flow-induced instabilities in directional solidification, structure and dynamical properties of convection in binary fluid mixtures, and instability competition for convecting superfluid mixtures.
- Publication:
-
European Journal of Mechanics, B/Fluids
- Pub Date:
- 1991
- Bibcode:
- 1991EuJMB..10......
- Keywords:
-
- Conferences;
- Flow Stability;
- Hydrodynamic Equations;
- Transition Flow;
- Binary Mixtures;
- Branching (Mathematics);
- Broken Symmetry;
- Chaos;
- Free Convection;
- Gravity Waves;
- Nonlinear Equations;
- Rayleigh-Benard Convection;
- Shear Flow;
- Surface Waves;
- Taylor Instability;
- Traveling Waves;
- Turbulent Flow;
- Viscous Flow;
- Vortices;
- Fluid Mechanics and Heat Transfer